Two-Way Tables & Relative Frequency

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations, often expressed as a percentage.

Front

How do you calculate relative frequency?

Back

Relative frequency = (Frequency of the event) / (Total frequency) x 100%.

Front

What does it mean if the relative frequency of an event is 15%?

Back

It means that 15 out of every 100 observations or trials resulted in that event occurring.

Front

What is the purpose of using two-way tables in statistics?

Back

Two-way tables help to summarize and analyze the relationship between two categorical variables, making it easier to identify patterns and trends.

Front

If 30 out of 200 surveyed people purchased no food, what is the relative frequency of people that purchased no food?

Back

Relative frequency = (30/200) x 100% = 15%.

Front

In a two-way table, what does each cell represent?

Back

Each cell in a two-way table represents the frequency count of occurrences for the combination of the two categorical variables.

Front

What is the significance of the total row and total column in a two-way table?

Back

The total row and total column provide the overall counts for each category, which are essential for calculating relative frequencies.

Front

How can you find the percentage of a specific group in a two-way table?

Back

To find the percentage of a specific group, divide the frequency of that group by the total frequency and multiply by 100%.

Front

What is the relative frequency of boys among those who cannot bike to school if there are 29 boys out of 100 total students?

Back

Relative frequency = (29/100) x 100% = 29%.